An Accountemps survey asked workers to identify what coworkers irritates them th

Question

An Accountemps survey asked workers to identify what coworkers irritates them the most. Forty-one percent of the workers surveyed said that sloppy most irritating behavior. Suppose that this percentage is based on a random sample of 500 workers. a. Construct a 95% confidence interval for the proportion of all workers who will say that work is the most irritating behavior of their coworkers. b. Suppose the confidence interval obtained in part a is too wide. How can to width of this interval be reduced? Discuss all possible alternatives. Which alternative is the best.

Explanation / Answer

here p=0.41

a)

for n=500; std error =(p(1-p)/n)1/2 =0.0220

for 95% CI; z=1.96

hence 95% confidence interval =p -/+ z*std error =0.3669 ; 0.4531

b) we can reduce with of interval by increasing sample size or by decreasing confidence level,

Out of which increasing sample size is better option so that we can be precise with higher confidence.

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